Question

Tentukanlah himpunan penyelesaian dari:
a. 2x+4y=-2 dan 3x-y=11
b. 3p-4q=-16 dan 2p-q=-18
c. 2x-3y=4 dan x+y=7

Answer 1

A 
3x - y = 11 ----- y = 3x -11

2x + 4y = -2
2x + 4(3x - 11) = -2
2x + 12x - 44 = -2
14x = 42
x =  = 3

3x - y = 11
3(3) - y = 11
9 - y = 11
y = 9 - 11 = -2

Hp = (3, -2)

C
x + y = 7 ----- x = -y +7

2x - 3y = 4
2(-y + 7) - 3y = 4
-2y + 14 -3y = 4
-5y = -10
y =  = 2

x + y = 7
x + 2 = 7
x = 7 - 2 = 5

Hp = (5, 2)